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Finding the Fourth Proportional to 486,195.40, 729,293.10 and 308,829.70

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Solution

The fourth proportional to 486,195.40, 729,293.10 and 308,829.70 is: 463,244.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,195.40 : 729,293.10 = 308,829.70 : x
  2. Step 2: Convert to fraction form
    486,195.40/729,293.10 = 308,829.70/x
  3. Step 3: Cross multiply
    486,195.40x = 729,293.10 × 308,829.70
  4. Step 4: Simplify right side
    486,195.40x = 225,227,369,285.07
  5. Step 5: Solve for x
    x = 225,227,369,285.07/486,195.40
  6. Step 6: Final answer
    x = 463,244.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.